Characterization of arithmetic functions that preserve the sum-of-squares operation

Author:

Bašić Bojan

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference14 articles.

1. Chen, K.-K., Chen, Y.-G.: On f(p) + f(q) = f(p + q) for all odd primes p and q. Publ. Math. Debrecen, 76, 425–430 (2010)

2. Chung, P. V.: Multiplicative functions satisfying the equation f(m 2+n 2) = f(m 2)+f(n 2). Math. Slovaca, 46, 165–171 (1996)

3. Chung, P. V., Phong, B. M.: Additive uniqueness sets for multiplicative functions. Publ. Math. Debrecen, 55, 237–243 (1999)

4. De Koninck, J.-M., Kátai, I., Phong, B. M.: A new characteristic of the identity function. J. Number Theory, 63, 325–338 (1997)

5. Dubickas, A., Šarka, P.: On multiplicative functions which are additive on sums of primes. Aequat. Math., 86, 81–89 (2013)

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